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Finding the Third Proportional to 435,260 and 958,792

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Solution

The third proportional to 435,260 and 958,792 is: 2,112,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,260 : 958,792 = 958,792 : x
  2. Step 2: Convert to fraction form
    435,260/958,792 = 958,792/x
  3. Step 3: Cross multiply
    435,260x = 958,792 × 958,792
  4. Step 4: Simplify right side
    435,260x = 919,282,099,264
  5. Step 5: Solve for x
    x = 919,282,099,264/435,260
  6. Step 6: Final answer
    x = 2,112,029.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.